365 lines
14 KiB
C
365 lines
14 KiB
C
/* $OpenBSD: ec_local.h,v 1.27 2023/11/29 21:35:57 tb Exp $ */
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/*
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* Originally written by Bodo Moeller for the OpenSSL project.
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*/
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/* ====================================================================
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* Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com).
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*
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*/
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/* ====================================================================
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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*
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* Portions of the attached software ("Contribution") are developed by
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* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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*
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* The Contribution is licensed pursuant to the OpenSSL open source
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* license provided above.
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*
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* The elliptic curve binary polynomial software is originally written by
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* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
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*
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*/
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#include <stdlib.h>
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#include <openssl/bn.h>
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#include <openssl/ec.h>
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#include <openssl/objects.h>
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#include "bn_local.h"
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__BEGIN_HIDDEN_DECLS
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#if defined(__SUNPRO_C)
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# if __SUNPRO_C >= 0x520
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# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
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# endif
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#endif
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struct ec_method_st {
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int field_type;
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int (*group_init)(EC_GROUP *);
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void (*group_finish)(EC_GROUP *);
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int (*group_copy)(EC_GROUP *, const EC_GROUP *);
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int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
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const BIGNUM *b, BN_CTX *);
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int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
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BIGNUM *b, BN_CTX *);
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int (*group_get_degree)(const EC_GROUP *);
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int (*group_order_bits)(const EC_GROUP *);
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int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
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int (*point_init)(EC_POINT *);
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void (*point_finish)(EC_POINT *);
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int (*point_copy)(EC_POINT *, const EC_POINT *);
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int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
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int (*point_set_Jprojective_coordinates)(const EC_GROUP *, EC_POINT *,
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const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
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int (*point_get_Jprojective_coordinates)(const EC_GROUP *,
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const EC_POINT *, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
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int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
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const BIGNUM *x, const BIGNUM *y, BN_CTX *);
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int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
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BIGNUM *x, BIGNUM *y, BN_CTX *);
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int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
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const BIGNUM *x, int y_bit, BN_CTX *);
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size_t (*point2oct)(const EC_GROUP *, const EC_POINT *,
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point_conversion_form_t form, unsigned char *buf, size_t len,
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BN_CTX *);
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int (*oct2point)(const EC_GROUP *, EC_POINT *, const unsigned char *buf,
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size_t len, BN_CTX *);
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int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
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const EC_POINT *b, BN_CTX *);
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int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
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int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
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int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
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int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
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int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
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BN_CTX *);
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int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
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int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[],
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BN_CTX *);
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int (*mul_generator_ct)(const EC_GROUP *, EC_POINT *r,
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const BIGNUM *scalar, BN_CTX *);
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int (*mul_single_ct)(const EC_GROUP *group, EC_POINT *r,
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const BIGNUM *scalar, const EC_POINT *point, BN_CTX *);
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int (*mul_double_nonct)(const EC_GROUP *group, EC_POINT *r,
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const BIGNUM *g_scalar, const BIGNUM *p_scalar,
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const EC_POINT *point, BN_CTX *);
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/*
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* Internal methods.
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*/
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/*
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* These can be used by 'add' and 'dbl' so that the same implementations
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* of point operations can be used with different optimized versions of
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* expensive field operations.
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*/
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int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
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const BIGNUM *b, BN_CTX *);
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int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
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BN_CTX *);
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int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
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const BIGNUM *b, BN_CTX *);
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/* Encode to and decode from other forms (e.g. Montgomery). */
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int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
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BN_CTX *);
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int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
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BN_CTX *);
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int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
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int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p,
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BN_CTX *ctx);
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} /* EC_METHOD */;
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struct ec_group_st {
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/*
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* Methods and members exposed via the public API.
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*/
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const EC_METHOD *meth;
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EC_POINT *generator; /* Optional */
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BIGNUM order;
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BIGNUM cofactor;
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int curve_name; /* Optional NID for named curve. */
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/* ASN.1 encoding controls. */
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int asn1_flag;
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point_conversion_form_t asn1_form;
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/* Optional seed for parameters (appears in ASN.1). */
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unsigned char *seed;
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size_t seed_len;
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/*
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* Internal methods and members. Handled by the method functions, even
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* if they appear to be generic.
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*/
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/*
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* Field specification. For GF(p) this is the modulus; for GF(2^m),
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* this is the irreducible polynomial defining the field.
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*/
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BIGNUM field;
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/*
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* Curve coefficients. In characteristic > 3, the curve is defined by a
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* Weierstrass equation of the form y^2 = x^3 + a*x + b.
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*/
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BIGNUM a, b;
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/* Enables optimized point arithmetics for special case. */
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int a_is_minus3;
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/* Montgomery context and values used by EC_GFp_mont_method. */
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BN_MONT_CTX *mont_ctx;
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BIGNUM *mont_one;
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int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *,
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BN_CTX *);
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} /* EC_GROUP */;
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struct ec_key_st {
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const EC_KEY_METHOD *meth;
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int version;
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EC_GROUP *group;
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EC_POINT *pub_key;
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BIGNUM *priv_key;
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unsigned int enc_flag;
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point_conversion_form_t conv_form;
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int references;
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int flags;
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CRYPTO_EX_DATA ex_data;
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} /* EC_KEY */;
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struct ec_point_st {
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const EC_METHOD *meth;
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/*
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* All members except 'meth' are handled by the method functions,
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* even if they appear generic.
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*/
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/*
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* Jacobian projective coordinates: (X, Y, Z) represents (X/Z^2, Y/Z^3)
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* if Z != 0
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*/
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BIGNUM X;
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BIGNUM Y;
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BIGNUM Z;
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int Z_is_one; /* enable optimized point arithmetics for special case */
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} /* EC_POINT */;
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/* method functions in ec_mult.c
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* (ec_lib.c uses these as defaults if group->method->mul is 0) */
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int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
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size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
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/* method functions in ecp_smpl.c */
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int ec_GFp_simple_group_init(EC_GROUP *);
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void ec_GFp_simple_group_finish(EC_GROUP *);
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int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
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int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
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int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
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int ec_GFp_simple_group_get_degree(const EC_GROUP *);
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int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
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int ec_GFp_simple_point_init(EC_POINT *);
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void ec_GFp_simple_point_finish(EC_POINT *);
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int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
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int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
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int ec_GFp_simple_set_Jprojective_coordinates(const EC_GROUP *, EC_POINT *,
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const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
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int ec_GFp_simple_get_Jprojective_coordinates(const EC_GROUP *,
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const EC_POINT *, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
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int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
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const BIGNUM *x, const BIGNUM *y, BN_CTX *);
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int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
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BIGNUM *x, BIGNUM *y, BN_CTX *);
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int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
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const BIGNUM *x, int y_bit, BN_CTX *);
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size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
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unsigned char *buf, size_t len, BN_CTX *);
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int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
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const unsigned char *buf, size_t len, BN_CTX *);
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int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
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int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
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int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
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int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
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int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
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int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
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int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
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int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
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int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
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int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
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int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
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int ec_GFp_simple_mul_generator_ct(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, BN_CTX *);
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int ec_GFp_simple_mul_single_ct(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar,
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const EC_POINT *point, BN_CTX *);
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int ec_GFp_simple_mul_double_nonct(const EC_GROUP *, EC_POINT *r, const BIGNUM *g_scalar,
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const BIGNUM *p_scalar, const EC_POINT *point, BN_CTX *);
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int ec_group_simple_order_bits(const EC_GROUP *group);
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int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
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/* EC_METHOD definitions */
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struct ec_key_method_st {
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const char *name;
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int32_t flags;
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int (*init)(EC_KEY *key);
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void (*finish)(EC_KEY *key);
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int (*copy)(EC_KEY *dest, const EC_KEY *src);
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int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
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int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
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int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
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int (*keygen)(EC_KEY *key);
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int (*compute_key)(unsigned char **out, size_t *out_len,
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const EC_POINT *pub_key, const EC_KEY *ecdh);
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int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
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*sig, unsigned int *siglen, const BIGNUM *kinv,
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const BIGNUM *r, EC_KEY *eckey);
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int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
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BIGNUM **rp);
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ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
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const BIGNUM *in_kinv, const BIGNUM *in_r,
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EC_KEY *eckey);
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int (*verify)(int type, const unsigned char *dgst, int dgst_len,
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const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
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int (*verify_sig)(const unsigned char *dgst, int dgst_len,
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const ECDSA_SIG *sig, EC_KEY *eckey);
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} /* EC_KEY_METHOD */;
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#define EC_KEY_METHOD_DYNAMIC 1
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int ec_key_gen(EC_KEY *eckey);
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int ecdh_compute_key(unsigned char **out, size_t *out_len,
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const EC_POINT *pub_key, const EC_KEY *ecdh);
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int ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
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const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
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int ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
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const ECDSA_SIG *sig, EC_KEY *eckey);
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/*
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* ECDH Key Derivation Function as defined in ANSI X9.63.
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*/
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int ecdh_KDF_X9_63(unsigned char *out, size_t outlen, const unsigned char *Z,
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size_t Zlen, const unsigned char *sinfo, size_t sinfolen, const EVP_MD *md);
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int EC_POINT_set_Jprojective_coordinates(const EC_GROUP *group, EC_POINT *p,
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const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
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int EC_POINT_get_Jprojective_coordinates(const EC_GROUP *group,
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const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
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/* Public API in OpenSSL */
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const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
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__END_HIDDEN_DECLS
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